lyapunov 中文意思是什麼
lyapunov
解釋
利亞普諾夫-
We describe the meaning of chaos > future idea of chaotic theory and influence on forecast ; introduce the character of chaotic time series, and point out the problem and shortage of the methods already existed computing character value which are fractal dimension and the largest lyapunov exponent and improve on it ; present the forecast principle of forecast method based on chaotic attractor, and point out the shortage of local field forecast method based on chaotic attractor and bring forward improved on methodo at the same time, we put forward a banausic algorithm and compare two models using practical example
論述了混飩的含義與混淪理論的未來觀及其對預測的影響；介紹了。混飩時間序列的特徵，指出了己有的計算分形維及最大李雅譜諾夫指數這兩個特徵量的方法存在的問題與不足，並對此進行了改進；給出了基於混飩吸引子的預測方法的預測原理，指出了常用的基於混燉吸引子預測的局域法的不足並給出了改進方法，同時，給出了其實用演算法，並用實例進行了比較。 -
In section 1, we give sufficient and necessary conditions for stability of the degernerate differential systems with delay ex ( t ) = ax ( t ) + bx ( t - r ), meanwhile, its complex lyapunov matrix equation is given as : wherez, this results can contain the results in [ 5 ] and [ 11 ] ; in section 2, we investigate the controability of a class of degernerate differential systems with delay
第三章中給出了對退化時滯系統一些研究結果，在第一節中討論了退化時滯微分系統的全時滯穩定性，闡述了系統全時滯穩定的充要條件，並給出了復lyapunov方程：其中，此結果可包容文獻[ 11 ]及文獻[ 5 ]中的結果。 -
Controlling a unified chaotic system by collocating the lyapunov exponents
用李雅譜諾夫指數配置法控制統一混沌系統 -
Control of chaotic synchronization based on lyapunov ' s direct method
基於李亞普諾夫直接法的混沌同步控制研究 -
In chapter 3, two nonlinear modified gilpin - ayala models with distributive delay and continuous diffusion are studied. some simple sufficient conditions for globally asymptotically stable and asymptotically stable of the unique positive equilibrium point are established by constructing lyapunov functional
在第二章中，我們研究的擴散行為是離散的，而在第三章中，我們研究兩類含連續擴散行為的非線性時滯gilpin - ayala模型（反應擴散方程） ，通過構造lyapunov泛函獲得其平衡態全局漸近穩定、漸近穩定的一些充分條件。 -
A dynamical system is built which is satisfied to lyapunov function whose energy function is penalty function in augmented lagrange multiplier method. the dynamical system is global stable, and its stable solution is the optimization solution of sub - problem in augmented lagrange multiplier method according to lasalle invariance principle. finally a complete optimization algorithm is developed
針對這種工業過程，本文基於一個lqr的性能指標（本性能指標和衰減系數和自然頻率密切相關） ，提出應用本文提出的mmlaax優化演算法，對不確定工業過程進行魯棒pto控制器的設計，取得令人滿意的效果。 -
Lyapunov - based control of three - phase pwm rectifier - inverter
逆變系統的李亞普諾夫控制 -
On the basis of methods of feedback linearization and compound lyapunov, the author puts forward a sort of robust output track control rule with a regulable parameter. this rule not only guarantees the system exponent output track but also makes the closed loop system have limited states
基於反饋線性化方法和復合lyapunov方法，作者提出了一種具有可調參數的魯棒輸出跟蹤控制律，不僅可以保證系統指數輸出跟蹤，而且閉環系統狀態有界。 -
Using lyapunov stability theory, it has been shown that the control scheme guarantees that all the variables of closed - loop system are bounded. moreover, the mean - square tracking error can be made arbitrarily small by choosing some design parameters appropriately
Lyapunov穩定性分析結果表明，本文所提出的控制器保證了閉環系統內的所有信號都是有界的，通過選擇適當的設計參數，可以使跟蹤誤差的均方根任意小。 -
W. dixon, d. dawson, a. behal and s. nagarkatti, nonlinear control of engineering systems : a lyapunov - based approach, springer, 2002
胡躍明，非線性控制系統理論與應用，國防工業出版社， 2002 。 -
The research and application of chaos synchronization based on lyapunov ' s stability theorem
穩定性定理的混沌同步研究與應用 -
By using lmi toolbox in matlab, it is easily to obtain controllers gain matrices. 2 ) based on lyapunov stability theory, the results on robust control for time - delay systems with markovian jumping parameters are extended to neutral
2 ）基於lyapunov穩定性理論，將含有markov跳躍參數的線性不確定時滯系統的魯棒控制結果推廣到含有markov跳躍參數的中立型系統中。 -
According to based on lyapunov ' s mathematical definition of probabilistic stability, the cwr probabilistic stability criterion is proposed on the basis of the first - passage probabilities of stochastic processes
基於李雅普諾夫意義的概率穩定性概念，結合隨機過程跨越理論，提出了無縫線路概率穩定性判斷準則。 -
This paper consists of three parts : we first consider the non - autonomous predator - prey system with both beddirigton - deangelis functional response and dispersion. by using comparison theorem of differential equation, we study the permanance of the system. after that, by constructing suitable lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system
本文研究三方面的內容：第一部分考慮具有擴散和beddington ? deangelis功能反應的捕食-食餌系統，利用微分方程比較原理得到該系統一致持續生存的條件；通過構造適當的lyapunov函數得到了該系統存在全局漸近穩定概周期解的充分條件。 -
In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay
本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。 -
Then r / s analysis, phase space reconstruction of the system, chaos analysis and fractals analysis are done through matlab program, based on original data of hushen stock markets compositive index from year 1991 to year 2002. and the author draws a conclusion based on original data that china ' s stock market obeys low - dimension fractals and ebb - chaos in terms of the experimentation result : hurst exponents are between 0 and 1, memory cycles are obvious, lyapunov exponents are more than zero and chaotic attractors correlative dimensions are between 2 and 3 in hushen stock markets in this thesis the concept information noises is put forward. stock market information about policy and company of the last ten years is packed up and classified for regulators make decisions in terms of power the factor influences the stock market index
之後文章以中國股市1991年至2002年上海和深圳綜合指數每日收盤價原始數據為研究對象，在matlab程序實驗條件下，進行了兩地股市系統的r / s分析、系統相空間重構、混沌分析、分形分析；獲取了兩地股市系統的赫斯特指數（滬深股市赫斯特指數均大於0 . 5而小於1 ） 、非周期記憶循環周期（滬深股市都有明顯的記憶循環周期） 、最大李雅普諾夫指數（兩市都大於0 ）和吸引子的關聯維數（兩市都在2到3維之間） ；從而得出中國股市系統是低維分形的、弱混沌的（基於原始數據）結論。 -
Defining the minimax robust control of discrete time - delay systems, the existence condition and design method of minimax robust controller are given by the lyapunov method and lmi ( linear matrix inequation )
給出離散時滯系統的極小極大控制定義，利用李亞普諾夫方法和線性矩陣不等式（ lmi ）方法給出了極小極大魯棒控制器的存在條件和設計方法。 -
The key of calculating fractal dimension and lyapunov exponents is to establish a good phase space. moreover, catastrophe parameter is an important feature of nonlinear time series. methods of calculating fractal dimension, lyapunov exponents and catastrophe parameter from seismic trace are exhausted
4 、 lyapunov指數混沌控制波阻抗反演的優化方法：從地震信號中反演出地下多層介質的波阻抗，以此判斷介質和含流體性質，是地球物理的難點和重點。 -
Finally, some properties of limits set of the solution of the dde with local monotone in the delay term are given. moreover, using the above discrete lyapunov functional, we prove that the poincare - bendixson theorem holds for some solutions of this dde. in chapter 4, detail analysis of the global attractor for three particular classes of delay differential equations in concrete applications are given
最後，給出了最終落在時滯項局部單調范圍內的解的極限集的若干性質，並給出了類似於poincare一bendixson定理的結論及其證明，這些結論的證明盡管與mallet一paret的證明方法相似，但是本文的結論將他有關全局單調的理論推廣到局部單調中去了。 -
Another proof of the converse lyapunov stability theorem
有理標準形存在性定理的構造性證明
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